Duality and Weyl Symmetry of 7-brane Configurations

Details Duality and Weyl Symmetry of 7-brane Configurations Duality and Weyl Symmetry of 7-brane Configurations

2000-02-15

arxiv.org/abs/hep-th/0002127v1

JHEP 0009 (2000) 042

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, LaTex, 11 figures

Scientific paper

10.1088/1126-6708/2000/09/042

Extending earlier results on the duality symmetries of three-brane probe theories we define the duality subgroup of SL(2,Z) as the symmetry group of the background 7-branes configurations. We establish that the action of Weyl reflections is implemented on junctions by brane transpositions that amount to exchanging branes that can be connected by open strings. This enables us to characterize duality groups of brane configurations by a map to the symmetry group of the Dynkin diagram. We compute the duality groups and their actions for all localizable 7-brane configurations. Surprisingly, for the case of affine configurations there are brane transpositions leaving them invariant but acting nontrivially on the charges of junctions.

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